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42020424 = 2333227857
BaseRepresentation
bin1010000001001…
…0111001001000
32221001212012000
42200102321020
541224123144
64100351000
71020111345
oct240227110
987055160
1042020424
11217a0626
12120a5460
138923374
14581b7cc
153a50769
hex2812e48

42020424 has 64 divisors (see below), whose sum is σ = 117374400. Its totient is φ = 13928832.

The previous prime is 42020393. The next prime is 42020437. The reversal of 42020424 is 42402024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42020397 and 42020406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48604 + ... + 49460.

It is an arithmetic number, because the mean of its divisors is an integer number (1833975).

Almost surely, 242020424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42020424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58687200).

42020424 is an abundant number, since it is smaller than the sum of its proper divisors (75353976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42020424 is a wasteful number, since it uses less digits than its factorization.

42020424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 42020424 is about 6482.3162526986. The cubic root of 42020424 is about 347.6590000946.

Adding to 42020424 its reverse (42402024), we get a palindrome (84422448).

The spelling of 42020424 in words is "forty-two million, twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 227 454 681 857 908 1362 1714 1816 2043 2571 2724 3428 4086 5142 5448 6129 6856 7713 8172 10284 12258 15426 16344 20568 23139 24516 30852 46278 49032 61704 92556 185112 194539 389078 583617 778156 1167234 1556312 1750851 2334468 3501702 4668936 5252553 7003404 10505106 14006808 21010212 42020424